Concepedia

Lie Group Extensions

Lie Group Extensions is a mathematical framework that classifies the ways in which one Lie group can be extended by another through a short exact sequence, thereby constructing a larger Lie group that encodes both the structure of the original groups and their interaction via a specified action or cocycle.

199

Publications

8.7K

Citations

300

Authors

194

Institutions

Publications per year

2017–2026

24

Parents

Publications

199

Geometric Means in a Novel Vector Space Structure on Symmetric Positive‐Definite Matrices

Vincent Arsigny, Pierre Fillard, Xavier Pennec et al. · SIAM Journal on Matrix Analysis and Applications · 2007 · 814 citations

, , +16

Unitary representations of group extensions. I

George W. Mackey · Acta Mathematica · 1958 · 603 citations · Full text

, , +10

APPLICATIONS OF LIE GROUPS TO DIFFERENTIAL EQUATIONS (Graduate Texts in Mathematics)

Allan P. Fordy · Bulletin of the London Mathematical Society · 1987 · 346 citations

, , +12

Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities

Daniel Larsson, Sergei Silvestrov · Journal of Algebra · 2005 · 325 citations

, , +15

Special functions for applied scientists

Choice Reviews Online · 2009 · 300 citations

, , +15

1–5 of 199

Authors

300

  1. KN
    Karl‐Hermann Neeb

    Technische Universität Darmstadt, Germany

    4 publications · 218 citations

    4

    h-index

  2. PG
    P. G. L. Leach

    University of KwaZulu-Natal, South Africa

    4 publications · 127 citations

    4

    h-index

  3. IM
    Ian Melbourne

    University of Houston, United States

    3 publications · 100 citations

    3

    h-index

  4. OV
    Otmar Venjakob

    Heidelberg University, Germany

    3 publications · 109 citations

    3

    h-index

  5. KC
    Kirill C. H. Mackenzie

    University of Sheffield, United Kingdom

    3 publications · 111 citations

    3

    h-index

1–5 of 300

Institutions

194

  1. Institute of Mathematics

    Kyiv, Ukraine

    4 h-index

    6 publications

    197 citations

  2. University of Göttingen

    Göttingen, Germany

    4 h-index

    4 publications

    76 citations

  3. Universität Hamburg

    Hamburg, Germany

    4 h-index

    5 publications

    99 citations

  4. Universitat de València

    Valencia, Spain

    3 h-index

    7 publications

    298 citations

  5. University of Houston

    Houston, United States

    3 h-index

    6 publications

    253 citations

  6. University of Sheffield

    Sheffield, United Kingdom

    3 h-index

    3 publications

    171 citations

  7. Heidelberg University

    Heidelberg, Germany

    3 h-index

    6 publications

    207 citations

  8. Universidad de Valladolid

    Valladolid, Spain

    3 h-index

    3 publications

    108 citations

1–8 of 194

Venues

  1. Journal of Mathematical Physics

    11 publications · 414 citations

    11

    h-index

  2. ArXiv.org

    Repository · 10 publications · 376 citations

    10

    h-index

  3. Annals of Mathematics

    6 publications · 301 citations

    6

    h-index

  4. Proceedings of the American Mathematical Society

    PROC · 5 publications · 83 citations

    5

    h-index

  5. Journal of the London Mathematical Society

    4 publications · 113 citations

    4

    h-index

1–5